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38723688 = 23321721861
BaseRepresentation
bin1001001110111…
…0000001101000
32200212100220200
42103232001220
534403124223
63501552200
7650101023
oct223560150
980770820
1038723688
111a949753
1210b75660
13803a933
1452001ba
1535eda43
hex24ee068

38723688 has 72 divisors (see below), whose sum is σ = 111468630. Its totient is φ = 12142080.

The previous prime is 38723687. The next prime is 38723689. The reversal of 38723688 is 88632783.

It is an interprime number because it is at equal distance from previous prime (38723687) and next prime (38723689).

It can be written as a sum of positive squares in 3 ways, for example, as 30669444 + 8054244 = 5538^2 + 2838^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (38723687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19878 + ... + 21738.

Almost surely, 238723688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38723688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55734315).

38723688 is an abundant number, since it is smaller than the sum of its proper divisors (72744942).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38723688 is a wasteful number, since it uses less digits than its factorization.

38723688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1883 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 38723688 is about 6222.8360094092. The cubic root of 38723688 is about 338.3183630176.

The spelling of 38723688 in words is "thirty-eight million, seven hundred twenty-three thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 289 306 408 578 612 867 1156 1224 1734 1861 2312 2601 3468 3722 5202 5583 6936 7444 10404 11166 14888 16749 20808 22332 31637 33498 44664 63274 66996 94911 126548 133992 189822 253096 284733 379644 537829 569466 759288 1075658 1138932 1613487 2151316 2277864 3226974 4302632 4840461 6453948 9680922 12907896 19361844 38723688